With your host, … Mrs. McCumiskey © David A. Occhino Category 1 Pyramids & Prisms © David A. Occhino Category 2 Cones © David A. Occhino Category 3 Cylinders © David A. Occhino Category 4 Spheres © David A. Occhino Category 5 Plane Theorems © David A. Occhino Category 6 Anything Goes © David A. Occhino Pyramids & Prisms Cones Cylinders Spheres Plane Theorems Anything Goes $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500 © David A. Occhino Final Jeopardy $100 Find the volume of the regular pyramid below: Cat 1: $100 Q © David A. Occhino $100 Cat 1: $100 A 213.3 © David A. Occhino Board $200 Cat 1: $200 Q Which statement is always true when describing the characteristics of a prism? a) The lateral faces are congruent b) The edges are all congruent c) The lateral faces are parallel d) The lateral edges are congruent and parallel © David A. Occhino $200 Cat 1: $200 A D © David A. Occhino Board $300 Two prisms have equal volumes. The have equal altitudes. Which statement must also be true? a) The bases of one prism are congruent to the bases of the other b) The bases of both prisms have the same areas c) The lateral faces of the two prisms are congruent d) The bases of one prism are similar to the bases of the other Cat 1: $300 Q © David A. Occhino $300 Cat 1: $300 A B © David A. Occhino Board $400 Find the volume of a regular pyramid if one side of the base measure 8cm slant height is 6cm. Cat 1: $400 Q Round your answer to the nearest tenth. © David A. Occhino $400 Cat 1: $400 A 95.4 © David A. Occhino Board $500 Find the volume of the solid below: Cat 1: $500 Q © David A. Occhino $500 Cat 1: $500 A 105 © David A. Occhino Board $100 Cat 2: $100 Q © David A. Occhino $100 Cat 2: $100 A © David A. Occhino Board $200 Cat 2: $200 Q © David A. Occhino $200 Cat 2: $200 A 201 © David A. Occhino Board $300 Cat 2: $300 Q © David A. Occhino $300 Cat 2: $300 A B © David A. Occhino Board $400 Cat 2: $400 Q © David A. Occhino $400 Cat 2: $400 A B © David A. Occhino Board $500 Find the lateral area of a cone if the diameter is 4 in and the height is 6 in. Round answer to nearest tenth. Cat 2: $500 Q © David A. Occhino $500 Cat 2: $500 A 39.7 © David A. Occhino Board $100 Cat 3: $100 Q © David A. Occhino $100 Cat 3: $100 A © David A. Occhino Board $200 Cat 3: $200 Q © David A. Occhino $200 Cat 3: $200 A © David A. Occhino Board $300 Cat 3: $300 Q A right circular cylinder has a volume of 1,000 cubic inches and a height of 8 inches. What is the radius of the cylinder to the nearest tenth of an inch? © David A. Occhino $300 Cat 3: $300 A 6.3 © David A. Occhino Board $400 A right circular cylinder has an altitude of 11 feet and a radius of 5 feet. What is the lateral area, in square feet, of the cylinder, to the nearest tenth? Cat 3: $500 Q © David A. Occhino $400 Cat 3: $500 A 345.6 © David A. Occhino Board $500 The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm. Find the radius of the cylinder to the nearest tenth of a centimeter. Cat 3: $400 Q © David A. Occhino $500 Cat 3: $400 A 22.4 © David A. Occhino Board $100 Cat 4: $100 Q © David A. Occhino $100 Cat 4: $100 A © David A. Occhino Board $200 Find the volume of a sphere if the radius is 8 in. Round your answer to the nearest tenth. Cat 4: $200 Q © David A. Occhino $200 Cat 4: $200 A 2144.7 © David A. Occhino Board $300 What would the value of the radius have to be in order for the volume and surface area of a sphere to be equal? Cat 4: $300 Q © David A. Occhino $300 Cat 4: $300 A 3 © David A. Occhino Board $400 A sphere has a radius of 9 cm. Find the surface area and volume of the sphere. Round your answer to the nearest centimeter. Cat 4: $400 Q © David A. Occhino $400 Cat 4: $400 A SA = 1018 cm2 V = 3054 © David A. Occhino 3 cm Board $500 Cat 4: $500 Q © David A. Occhino $500 Cat 4: $500 A 4 © David A. Occhino Board $100 In three-dimensional space, two planes are parallel and a third plane intersects both of the parallel planes. The intersection of the planes is a Cat 5: $100 Q (a) plane (c) pair of parallel lines (b) point (d) pair of intersecting lines © David A. Occhino $100 Cat 5: $100 A C © David A. Occhino Board $200 In the diagram below, line k is perpendicular to plane P at point T. Which statement is true? (a) Any point in plane P also will be on line k. (b) Only one line in plane P will intersect line k. (c) All planes that intersect plane P will pass through T. (d) Any plane containing line k is perpendicular to plane P . Cat 5: $200 Q © David A. Occhino $200 Cat 5: $200 A D © David A. Occhino Board $300 Line n and line m are coplanar and intersect at point A. Line r is perpendicular to both lines n and m at A. Describe the relationship between lines n, m, and r. Cat 5: $300 Q a)Line r is parallel to the plane formed by lines n and m. b)Line r is perpendicular to the plane formed by lines n and m. c)A right triangle is formed by lines m, n, and r. d)All the intersections of lines n, m, and r form right angles. © David A. Occhino $300 Cat 5: $300 A B © David A. Occhino Board $400 Line m is perpendicular to plane A. How many planes can contain line m and also be perpendicular to plane A? Cat 5: $400 Q a.) 1 b.) 2 c.)0 d.) An infinite number © David A. Occhino $400 Cat 5: $400 A D © David A. Occhino Board $500 Given line segment in plane M and point C, not on plane m. How many planes pass through both and through point C that are perpendicular to ? Cat 5: $500 Q a.) 1 b.) 2 c.) 0 d.) An infinite number © David A. Occhino $500 Cat 5: $500 A A © David A. Occhino Board $100 Cat 6: $100 Q Tim is going to paint a wooden sphere that has a diameter of 12 inches. Find the surface area of the sphere, to the nearest square inch. © David A. Occhino $100 Cat 6: $100 A 452 © David A. Occhino Board $200 Cat 6: $200 Q © David A. Occhino $200 Cat 6: $200 A 3 © David A. Occhino Board $300 Cat 6: $300 Q © David A. Occhino $300 Cat 6: $300 A 1 © David A. Occhino Board $400 Cat 6: $400 Q © David A. Occhino $400 Cat 6: $400 A A © David A. Occhino Board $500 Cat 6: $500 Q © David A. Occhino $500 Cat 6: $500 A 2.6 © David A. Occhino Board © David A. Occhino